Find the domain of y = log(2 – lx). The domain is:

Q: Find solutions of the following equations by the method of separation of variables: 4. 2+= 0 at xe,…

A: 5.

Q: 3. Find the derivative of each of the following functions. Justify your answer. I sin z (a) f(x) =…

A: As we know that; The Product rule: f·g'=f'·g+f·g' The Chain rule: fgx'=f'gx·g'x   And…

Q: cosx dy= (3x+2)

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Q: Find the MacLaurin series for the function f(x) = x cos (2x) at a = 0.

A: Using the definition of maclaurin series ee can find series or by given function's series we can…

Q: Question 8 Evaluate the integral below by interpreting it in terms of areas. In other words, draw a…

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Q: To create a college fund, a parent makes a sequence of 18 yearly deposits of $1100 each in a savings…

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Q: Evaluate the limits. 4r +4 z 8 Enter DNE if the limit does not exist. a) lim g(z) = b) lim g(z) = c)…

A: Evaluate the limits

Q: Question 11 > A 25-year-old woman burns 400 – 70t cal/hr while walking on her treadmill. Her caloric…

A: We will integrate the given function

Q: Suppose that R is the finite region bounded by y = 1, y = 1 +1, 1 = 0, and I = 3. %3D Find the exact…

A: Here R is the finite region bounded by y=x, y=x+1, x=0, and x=3.   We have to find the exact value…

Q: cos (2x) cos (x)+ sin (x) (5) The expression is equivalent to (A) cos(x) + sin(x) (B) cos(x) –…

A: Solution is done in step 2

Q: Solve the following payoff matrix to find the best strategies and the value of game: B1 B2 Al 8 A2 3…

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Q: A company manufactures and sells DVD's. Here are the equations they use in connection with their…

A: Here we will find the functions,

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2

Q: dy Using the product rule for the dx function y = e3" sin x is equal to

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Q: 6+ 4 3- 2. -3 -2 -1 2 18 For the above rational function f( x) = 2.5x2 + 3.5 identify the interval…

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for 0. 18x (a) lim 5 4x 18r (b) lim…

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Q: (-2æ)" En=1 (5n)! Find the series' radius and interval of convergence

A: The given power series,∑n=1∞-2xn5n!

Q: Find a gradient of the equation: F(x,y) = v2x + :- y sin a + 4 VF =?

A: Here, the given vector equation is: F(x,y)=2x+xy-y2sin x+4

Q: Find the partial sum for the firs 4, 10, 16, 22, ... い +6 +6

A: Sequence

Q: Given the functions f(x) = . x + 2 and g(x) = x², determine all values of x for which Ag(x)) =…

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Q: If f(t) (0 , 01 Then find F(s) = f(t)e¯* dt where s>0 (simplfy your answer)

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Q: Draw the region R both in the x − y plane and in the u − v plane. 2. Invert the system writing the…

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Q: sin vn 2n Determine the convergence of the sequence an . If it converges, find lim an. BIU A E EV…

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Q: Find the indefinite integral. Hint: Let u = 5 - Vx. (Remember the constant of integration. Remember…

A: Explanation of the answer is as follows

Q: Use series to estimate the integral 1-cos x dx x2

A: Series

Q: The slope of the graph of the function y = 2x at (32,8) is %3D Tuno n mplifGed fraction

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Q: Find the following sum, if it exists. 0.4 + 0.0080 +0.00016 + .. Select the correct choice below…

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Q: A region is enclosed by the equations below. y = 8, 3 x = 1 z + 4' Find the volume of the solid…

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Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: Let y = tan(3x + 6). Find the differential dy when x = 2 and dæ 0.2 Find the differential dy when x…

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Q: Q1\ Differentiate the following x+1 2)y = ln- x-2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The number y of hits new website receives each month can be modeled by y = 4040ekt, where t…

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Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

Q: Let y tan(3x + 6). Find the differential dy vwhen a 2 and da 0.4 Find the differential dy when z 2…

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Q: Q1\ Differentiate the following 1)2xsin-13x

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Q: d d. dx tan(t)dt

A: Leibnitz Rule of differentiation :     ddx ∫α(x)β(x) f(x,t) dt = ∫α(x)β(x) d(f(x,t))dxdt +dβ(x)dx…

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

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Q: Find y subject to the given conditions. y"= 12x, y"(0) = 14, y'(0) = 4, and y(0) = 4

A: To find y subject to given conditions.

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) а. Find the…

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Q: .3 29. dr 18 31. 1/2 sin (x/2 + 1) d

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Q: Tell if the piece-wise function is continuous on the given interval. Put a CHECK MARK AFTER the…

A: Given graph,

Q: Differentiate 1)2xsin-13x x+1 2)y = In; Vx-2

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Q: A. First, rewrite the integral by multiplying out the integrand: | 3x° (x* + 1) dx = dx Then…

A: The given integral,         ∫3x3x4+1dx

Q: Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) :=…

A: The objective of the question is computing the values.

Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Here we have the perimeter of the isosceles triangle = 38 m,  Let the equal sides of triangle = x…

Q: 5. Evaluate each of the following integrals. rVz² +9dx dr (a) 21 +1)3

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Q: 7. Find the length of the curve y (r + 4)/2 on the interval [0,3] 8. Set up, but do not evaluate, an…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: AB is the vector from the point (1, –2) to the point (5, 1). Find a unit vector in the opposite…

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Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

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Q: 1 4 5 1 To find the blue shaded area above, we would calculate: 9. f(x)dx = area a Where: a = b =…

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